If h(x) = x - 7 and g(x) = x², which expression is equivalent to g(h(5))?
(5 - 7)²
(5)² - 7
(5)²(5 - 7)
(5 - 7)x²

Solution:

A function that depends on any other function is called a composite function.

A composite function is created by composing one function within another function.

Given, functions are h(x) = x - 7

g(x) = x²

We have to find the value of g(h(5)).

g(h(x)) = g(x - 7)

g(h(x)) = (x - 7)²

Now, put x = 5 in the above equation,

g(h(5)) = (5 - 7)²

= (-2)²

= 4

Therefore, the expression which is equivalent to g(h(5)) is (5 - 7)².

If h(x) = x - 7 and g(x) = x², which expression is equivalent to g(h(5))?

Summary:

If h(x) = x - 7 and g(x) = x², the expression which is equivalent to g(h(5)) is (5 - 7)².